What is the Least Common Multiple of 56419 and 56437?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56419 and 56437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56419 and 56437, than apply into the LCM equation.

GCF(56419,56437) = 1
LCM(56419,56437) = ( 56419 × 56437) / 1
LCM(56419,56437) = 3184119103 / 1
LCM(56419,56437) = 3184119103

Least Common Multiple (LCM) of 56419 and 56437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56419 and 56437. First we will calculate the prime factors of 56419 and 56437.

Prime Factorization of 56419

Prime Factorization of 56437

Now multiplying the highest exponent prime factors to calculate the LCM of 56419 and 56437.

LCM(56419,56437) = 11¹ × 23¹ × 223¹ × 56437¹
LCM(56419,56437) = 3184119103